On the spectrum and spectrum multiplicities of a sum of orthogonal projections
Let H be a unitary (finite dimensional Hilbert) space. It is known [1] that a self-adjoint operator on H, A = A* ≥ 0, is a sum of n orthogonal projections for some n ∈ N if and only if 1) tr A ∈ N∪{0}, 2) tr A ≥ dim Im A (Im A = AH)
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2004
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/156422 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the spectrum and spectrum multiplicities of a sum of orthogonal projections / A.A. Kyrychenko, Yu.S. Samoılenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 3. — С. 71–76. — Бібліогр.: 9 назв. — англ. |